The maximum value of standard modularity is 1 [1]}. To understand the maximum value of \(Q(B)\) , let us follow [2]} and consider a block matrix \(B\)  with \(+1\)  on the diagonal and \(-1\)  elsewhere for a network of \(N_B\)  cliques with the canonical labelling. The diagonal terms contribute
\(\frac{1}{N_B} \left(1 - \frac{1}{N_B} \right)\) 
